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Math olympiad-1

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Mosammat Arifa Akter:
1. A group of 7 women takes 7 days to make 7 Nokshikatha. How many days will a group of 5 women take for making 5 Nokshikatha?

Answer:  If 7 people need 7 days to make 7 katha, then it will take 77=49 days for 1 person to make 7 katha (since the workload will 7 times more)
So it will take that person 749=7 days to sew each katha. (7 times less workload)
Therefore it takes 57=35 days for the person to sew 5 katha. (5 times more workload)
Now if we increase the number of sewers to 5 , the workload will be reduced 5 times.
So, the time needed for 5 people to sew 5 katha will be 535=7 days.

omarsharif:
Do you have any short cut formula for time and work problem ?

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